As per dcasto, piston and diapram pumps will have both a discharge and suction check valve (in addition to any included in the piping) which must both leak through. It is common in my experience to lose flow because one of the check valves gets stuck open by a small piece of gravel or something, but a back flow will require both the inlet and outlet to fail. Still, having seen one check valve fail many times, I would have to say a backflow (two check valves fail) is not possible in the case of dirty service, although I have never had it happen.
The usual over-looked hazard with PD pumps is an uncontrolled forward flow in cases where the discharge pressure (due to upset, process cycle, etc) falls below the suction- i.e. you shut the process down and find your chemical injection tank contents has flowed into the process if you didn't isolate the pump. The manufacturer can recommend a back-pressure valve at the discharge to guard against this scenario if needed.
best wishes,
sshep